Difference between revisions of "009A Sample Midterm 1, Problem 5"

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<span class="exam">The displacement from equilibrium of an object in harmonic motion on the end of a spring is:
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<span class="exam"> Find the derivatives of the following functions. Do not simplify.
  
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::::::<span class="exam"><math>y=\frac{1}{3}\cos(12t)-\frac{1}{4}\sin(12t)</math>
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<span class="exam">(a) &nbsp; <math style="vertical-align: -5px">f(x)=\sqrt{x}(x^2+2)</math>
  
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<span class="exam">where <math>y</math> is measured in feet and <math>t</math> is the time in seconds. Determine the position and velocity of the object when <math>t=\frac{\pi}{8}.</math>
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<span class="exam">(b) &nbsp; <math style="vertical-align: -17px">g(x)=\frac{x+3}{x^{\frac{3}{2}}+2}</math> where <math style="vertical-align: 0px">x>0</math>
  
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<span class="exam">(c) &nbsp; <math style="vertical-align: -20px">h(x)=\frac{e^{-5x^3}}{\sqrt{x^2+1}}</math>
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<hr>
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[[009A Sample Midterm 1, Problem 5 Detailed Solution|'''<u>Detailed Solution with Background Information</u>''']]
  
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[[File:9ASM1P5.jpg|600px|thumb|center]]
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!Foundations: &nbsp;
 
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'''Solution:'''
 
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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!Final Answer: &nbsp;
 
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[[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 18:37, 6 November 2017

Find the derivatives of the following functions. Do not simplify.

(a)  

(b)   where

(c)  

Detailed Solution with Background Information

9ASM1P5.jpg

Return to Sample Exam

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